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Finding the Fourth Proportional to 9,467.56, 14,252.47 and 8,515

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Solution

The fourth proportional to 9,467.56, 14,252.47 and 8,515 is: 12,818.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.56 : 14,252.47 = 8,515 : x
  2. Step 2: Convert to fraction form
    9,467.56/14,252.47 = 8,515/x
  3. Step 3: Cross multiply
    9,467.56x = 14,252.47 × 8,515
  4. Step 4: Simplify right side
    9,467.56x = 121,359,782.05
  5. Step 5: Solve for x
    x = 121,359,782.05/9,467.56
  6. Step 6: Final answer
    x = 12,818.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.